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Finding the Third Proportional to 690,160 and 927,510

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Solution

The third proportional to 690,160 and 927,510 is: 1,246,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,160 : 927,510 = 927,510 : x
  2. Step 2: Convert to fraction form
    690,160/927,510 = 927,510/x
  3. Step 3: Cross multiply
    690,160x = 927,510 × 927,510
  4. Step 4: Simplify right side
    690,160x = 860,274,800,100
  5. Step 5: Solve for x
    x = 860,274,800,100/690,160
  6. Step 6: Final answer
    x = 1,246,486.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.